Least Common Multiple of 741/872, 364/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 741/872, 364/500 quickly i.e. 5187 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 741/872, 364/500 is 5187.

LCM(741/872, 364/500) = 5187

LCM of 741/872, 364/500

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 741/872,364/500

Given numbers are 741/872,364/500

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 741,364

Least Common Multiple of Numerators i.e. LCM of 741,364 is 20748.

GCF of Denominators means GCF of 872,500 as per the given fractions.

GCF of 872,500 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 741,364

LCM of Fractions 741/872,364/500 is 5187

13 741, 364
57, 28

∴ So the LCM of the given numbers is 13 x 57 x 28 = 20748

Least Common Multiple of 741,364 with GCF Formula

Least Common Multiple of 741,364 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 741,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,364) = 13

common factors(in case of two or more numbers have common factors) = 1

GCF(741,364) x common factors =13 x 1 = 13

LCM(741,364) = ( 741 × 364 ) / 13

LCM(741,364) = 269724 / 13

LCM(741,364) = 20748


Lets's calculate GCF of 872,500

2 872, 500
2 436, 250
218, 125

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20748/4

Therefore the LCM of Fractions 741/872,364/500 is 5187

Greatest Common Factor of 872,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,500 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 872,500 . The biggest common factor number is the GCF number.
So the greatest common factor 872,500 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 741/872, 364/500

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 741/872, 364/500?

Answer: LCM of Numerators as per given numbers 741/872, 364/500 is

LCM of Numerators i.e. for 741,364 is 20748

GCF of denominators i.e. for 872,500 is 4.

Thus, LCM of Fractions is 5187.Finally, LCM of Fractions for 741/872, 364/500 is 5187.